1-cos χ-1V1+ cos x – InterviewSolution

1.

1-cos χ-1V1+ cos x

Answer»

1+cosx=2cos^2(x/2)1-cosx=2sin^2(x/2)tan^-1(root(2sin^2(x/2)/2cos^2(x/2)))=tan^-1(root(tan^2(x/2)))

( now 0<x<pie so 0<x/2<pie/2so x/2 is in first quadrant so root(tan^2(x/2))=tan(x/2) )

=tan^-1(tan(x/2))=x/2

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